Algebraic curves in cryptography / San Ling, Huaxiong Wang, Chaoping Xing.
By: Ling, San.
Contributor(s): Wang, Huaxiong | Xing, Chaoping.
Series: Discrete mathematics and its applications.Publisher: Boca Raton : CRC Press, Taylor & Francis Group [2013]Description: xvii, 321 pages : illustrations ; 25 cm.Content type: text Media type: unmediated Carrier type: volumeISBN: 9781420079463 (hardback : acidfree paper).Subject(s): Coding theory | Curves, Algebraic | Data encryption (Computer science) | MATHEMATICS / Combinatorics | COMPUTERS / Security / General | MATHEMATICS / Number TheoryGenre/Form: Print books.DDC classification: 516.3/52 Summary: "The reach of algebraic curves in cryptography goes far beyond elliptic curve or public key cryptography yet these other application areas have not been systematically covered in the literature. Addressing this gap, Algebraic Curves in Cryptography explores the rich uses of algebraic curves in a range of cryptographic applications, such as secret sharing, frameproof codes, and broadcast encryption. Suitable for researchers and graduate students in mathematics and computer science, this self-contained book is one of the first to focus on many topics in cryptography involving algebraic curves. After supplying the necessary background on algebraic curves, the authors discuss error-correcting codes, including algebraic geometry codes, and provide an introduction to elliptic curves. Each chapter in the remainder of the book deals with a selected topic in cryptography (other than elliptic curve cryptography). The topics covered include secret sharing schemes, authentication codes, frameproof codes, key distribution schemes, broadcast encryption, and sequences. Chapters begin with introductory material before featuring the application of algebraic curves. "-- Provided by publisher.| Current location | Call number | Status | Date due | Barcode | Item holds |
|---|---|---|---|---|---|
| On Shelf | QA268 .L545 2013 (Browse shelf) | Available | AU0000000005124 |
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| QA268 .H365 2009 Applied algebra : codes, ciphers, and discrete algorithms / | QA268 .K5827 2019 A course in cryptography / | QA268 .K98 2012 Algebraic and stochastic coding theory / | QA268 .L545 2013 Algebraic curves in cryptography / | QA268 .R83 2022 Secret key cryptography : ciphers, from simple to unbreakable / | QA268 .S73 2010 Introduction to cryptography with mathematical foundations and computer implementations / | QA268 .S75 2019 Cryptography : theory and practice / |
Includes bibliographical references and index.
"The reach of algebraic curves in cryptography goes far beyond elliptic curve or public key cryptography yet these other application areas have not been systematically covered in the literature. Addressing this gap, Algebraic Curves in Cryptography explores the rich uses of algebraic curves in a range of cryptographic applications, such as secret sharing, frameproof codes, and broadcast encryption. Suitable for researchers and graduate students in mathematics and computer science, this self-contained book is one of the first to focus on many topics in cryptography involving algebraic curves. After supplying the necessary background on algebraic curves, the authors discuss error-correcting codes, including algebraic geometry codes, and provide an introduction to elliptic curves. Each chapter in the remainder of the book deals with a selected topic in cryptography (other than elliptic curve cryptography). The topics covered include secret sharing schemes, authentication codes, frameproof codes, key distribution schemes, broadcast encryption, and sequences. Chapters begin with introductory material before featuring the application of algebraic curves. "-- Provided by publisher.